Contact structures on Lie algebroids
arXiv:1507.01110
Abstract
In this paper we generalize the main notions from the geometry of (almost) contact manifolds in the category of Lie algebroids. Also, using the framework of generalized geometry, we obtain an (almost) contact Riemannian Lie algebroid structure on a vertical Liouville distribution over the big-tangent manifold of a Riemannain manifold.
arXiv commentTo appear in Publicationes Mathematicae Debrecen 2017
References in corpus (9)
- Lie algebroids and Poisson-Nijenhuis structures
- Graded contact manifolds and contact Courant algebroids
- Remarks on Contact and Jacobi Geometry
- Generalized Contact Bundles
- Cohomology of skew-holomorphic Lie algebroids
- Classical Field theory on Lie algebroids: multisymplectic formalism
- Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
- Poisson structures on almost complex Lie algebroids
- Killing sections and sigma models with Lie algebroid targets